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001			978-981-99-8692-7
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020			_a9789819986927 _9978-981-99-8692-7
024	7		_a10.1007/978-981-99-8692-7 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
072		7	_aPBKJ _2thema
100	1		_aWang, Mingxin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _975856
245	1	0	_aNonlinear Second Order Elliptic Equations _h[electronic resource] / _cby Mingxin Wang, Peter Y. H. Pang.
250			_a1st ed. 2024.
264		1	_aSingapore : _bSpringer Nature Singapore : _bImprint: Springer, _c2024.
300			_aXII, 314 p. 29 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreface -- Preliminaries -- Eigenvalue problems of second order linear elliptic operators -- Upper and lower solutions method for single equations -- Upper and lower solutions method for systems -- Theory of topological degree in cones and applications -- Systems with homogeneous Neumann boundary conditions -- P-Laplace equations and systems -- Appendix A: Basic results of Sobolev spaces and nonlinear functional analysis -- Appendix B: Basic theory of elliptic equations -- References -- Index.
520			_aThis book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solutions, more specifically non-constant positive solutions, as well as the uniqueness, stability and asymptotic behavior of such solutions. While not all-encompassing, these topics represent major approaches to the theory of partial differential equations and systems, and should be of significant interest to graduate students and researchers. Two appendices have been included to provide a good gauge of the prerequisites for this book and make it reasonably self-contained. A notable strength of the book is that it contains a large number of substantial examples. Exercises for the reader are also included. Therefore, this book is suitable as a textbook for graduate students who have already had an introductory course on PDE and some familiarity with functional analysis and nonlinear functional analysis, and as a reference for researchers.
650		0	_aDifferential equations.
650		0	_aFunctional analysis.
650		0	_aBiomathematics. _970325
650		0	_aPopulation biology. _972060
650	1	4	_aDifferential Equations.
650	2	4	_aFunctional Analysis.
650	2	4	_aMathematical and Computational Biology. _970327
650	2	4	_aPopulation Dynamics. _972062
700	1		_aPang, Peter Y. H. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _975857
710	2		_aSpringerLink (Online service)
773	0		_tSpringer Nature eBook
776	0	8	_iPrinted edition: _z9789819986910
776	0	8	_iPrinted edition: _z9789819986934
776	0	8	_iPrinted edition: _z9789819986941
856	4	0	_uhttps://doi.org/10.1007/978-981-99-8692-7
912			_aZDB-2-SMA
912			_aZDB-2-SXMS
999			_c59433 _d59433